112 citations · 823 across the 70 of their papers we have counts for
88 papers
Rotationally invariant first passage percolation: Breaking the variance barrier
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For first passage percolation (FPP) on Euclidean lattices with , it is expected that the variance of the first passage time between two points grows sublinea…
Rotationally invariant first passage percolation: Concentration and scaling relations
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For rotationally invariant first passage percolation (FPP) on the plane, we use a multi-scale argument to prove stretched exponential concentration of the first passage times at th…
Dependent Percolation on
Bernardo N. B. de Lima, Vladas Sidoravicius, Maria Eulália Vares
We consider a dependent percolation model on the square lattice . The range of dependence is infinite in vertical and horizontal directions. In this context, we prove…
Limit set of branching random walks on hyperbolic groups
Vladas Sidoravicius, Longmin Wang, Kainan Xiang
Let be a nonelementary hyperbolic group with a word metric and its hyperbolic boundary equipped with a visual metric for some parameter . Fix a super…
Bernoulli Hyperplane Percolation
Marco Aymone, Marcelo R. Hilário, Bernardo N. B. de Lima +1
We study a dependent site percolation model on the -dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We exte…
Random Memory Walk
Alexander Fribergh, Daniel Kious, Vladas Sidoravicius +1
We present a simple model of a random walk with partial memory, which we call the \emph{random memory walk}. We introduce this model motivated by the belief that it mimics the beha…